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2. The resistors produced by a manufacturer are required to have an average resistance of 0.] 50 ohms. Statistical analysis of the output suggests that the resistances can be approximated by a normal distribution with known standard deviation of 0.005 ohms. We are interested in testing the hypothesis that the resistors conform to the specications. {a} Determine whether a random sample of II} resistors yielding a sample mean of I}. 152 ohms indicates that the resistors are conforming. Use or = 0.05. (b) Calculate a 95% condence interval for the average resistance. How does this interval relate to your solution of part (a)